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Related Experiment Videos

Point-contact conductances from density correlations.

R Klesse1, M R Zirnbauer

  • 1Universität zu Köln, Institut für Theoretische Physik, Zülpicher Strasse 77, D-50937 Köln, Germany.

Physical Review Letters
|April 6, 2001
PubMed
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We derived a formula relating electron system conductance moments to density correlations. This reveals that the typical conductance in the Chalker-Coddington model at criticality behaves like a conformal field theory two-point function.

Area of Science:

  • Condensed matter physics
  • Quantum transport phenomena

Background:

  • Disordered electron systems exhibit complex transport properties.
  • Understanding conductance fluctuations is crucial for characterizing quantum transport.

Purpose of the Study:

  • To establish an exact relation for conductance moments in open disordered electron systems.
  • To apply this relation to analyze the Chalker-Coddington model at criticality.

Main Methods:

  • Formulation and proof of an exact relation.
  • Expressing conductance moments via density correlators of closed systems.
  • Analysis of the Chalker-Coddington model.

Main Results:

  • An exact relation connecting conductance moments to density correlators was derived.

Related Experiment Videos

  • The typical two-point conductance for the Chalker-Coddington model at criticality was shown to transform as a conformal field theory two-point function.

    • Conclusions:

    • The derived relation provides a new tool for studying disordered electron systems.
    • The critical behavior of the Chalker-Coddington model exhibits conformal field theory characteristics.